Final Exam 08

7 points 7 name a phenomenon that can be modeled

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Unformatted text preview: an be modeled easily using radiosity but that cannot be modeled with a basic ray-tracing algorithm. Give an example. 3 points Final Exam CS 184: Foundations of Computer Graphics Spring 2008 Prof. James O’Brien page 6 of 12 8. Below are two 4x4 homogenized transformation matrices. What does the first one do? How does the effect produced by the second one differ from that produced by the first? 4 points 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 1 0 0 0 0 1 0 0 0 0 1 0 3 0 0 1 The first one will: The second one will: 9. Draw the convex hull of the shape shown below. 2 points Final Exam CS 184: Foundations of Computer Graphics Spring 2008 Prof. James O’Brien page 7 of 12 10. The diagram below is the control polygon for a Bezier curve segment. Draw the curve and show how de Casteljau’s algorithm can be used to subdivide the curve into two halves. Make sure your drawing is geometrically reasonable and shows correct curve tangents for the the beginning, middle, and end of each segment. 5 points 11. Given a 3x3 matrix that encodes a 3D transformation, how does singular value decomposition separate the matrix into scale and rotation components? 4 points Final Exam CS 184: Foundations of Computer Graphics Spring 2008 Prof. James O’Brien page 8 of 12 12. There are 8 functions plotted below. Neatly cross out the ones that are not part of the cubic Her...
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